13822400 has 84 divisors (see below), whose sum is σ = 34866072. Its totient is φ = 5391360.

The previous prime is 13822363. The next prime is 13822409. The reversal of 13822400 is 422831.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13822409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84719 + ... + 84881.

Almost surely, 2^13822400 is an apocalyptic number.

13822400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17433036).

13822400 is an abundant number, since it is smaller than the sum of its proper divisors (21043672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13822400 is a wasteful number, since it uses less digits than its factorization.

13822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 13822400 is about 3717.8488403914. The cubic root of 13822400 is about 239.9907403835.

The spelling of 13822400 in words is "thirteen million, eight hundred twenty-two thousand, four hundred".